Here's an eye-opening statistic: older Americans are more afraid of running out of money than of death itself.

And older Americans have legitimate reasons for this worry, even if they have dutifully saved for their golden years. That's because the traditional ways people manage retirement may no longer provide enough income to meet expenses - and with people generally living longer, the principal retirement savings is exhausted far too early in the retirement period.

The tried-and-true retirement investing approach of yesterday doesn't work today.

For many years, bonds or other fixed-income assets could produce the yield needed to provide solid income for retirement needs. However, these yields have dwindled over time: 10-year Treasury bond rates in the late 1990s were around 6.50%, but today, that rate is a thing of the past, with a slim likelihood of rates making a comeback in the foreseeable future.

The effect of this drop in rates is substantial: over 20 years, the change in yield for a $1 million investment in 10-year Treasuries is over $1 million.

And lower bond yields aren't the only potential problem seniors are facing. Today's retirees aren't feeling as secure as they once did about Social Security, either. Benefit checks will still be coming for the foreseeable future, but based on current estimates, Social Security funds will run out of money in 2035.

How can you avoid dipping into your principal when the investments you counted on in retirement aren't producing income? You can only cut your expenses so far, and the only other option is to find a different investment vehicle to generate income.

Invest in Dividend Stocks

We feel that these dividend-paying equities - as long as they are from high-quality, low-risk issuers - can give retirement investors a smart option to replace low-yielding Treasury bonds (or other bonds).

Look for stocks that have paid steady, increasing dividends for years (or decades), and have not cut their dividends even during recessions.

Going beyond those familiar names, you can find excellent dividend-paying stocks by following a few guidelines. Look for companies that pay a dividend yield of around 3%, with positive annual dividend growth. The growth rate is key to help combat the effects of inflation.

Here are three dividend-paying stocks retirees should consider for their nest egg portfolio.

Brixmor Property (BRX Quick QuoteBRX - Free Report)

is currently shelling out a dividend of $0.29 per share, with a dividend yield of 3.67%. This compares to the REIT and Equity Trust - Retail industry's yield of 3.62% and the S&P 500's yield of 1.45%. The company's annualized dividend growth in the past year was 4.81%. Check Brixmor Property dividend history here>>>

Community Trust Bancorp (CTBI Quick QuoteCTBI - Free Report)

is paying out a dividend of $0.47 per share at the moment, with a dividend yield of 3.22% compared to the Banks - Southeast industry's yield of 2.07% and the S&P 500's yield. The annualized dividend growth of the company was 2.17% over the past year. Check Community Trust Bancorp dividend history here>>>

Currently paying a dividend of $0.5 per share,

FNF Group (FNF Quick QuoteFNF - Free Report)

has a dividend yield of 3.1%. This is compared to the Insurance - Property and Casualty industry's yield of 0.11% and the S&P 500's current yield. Annualized dividend growth for the company in the past year was 6.67%. Check FNF Group dividend history here>>>

But aren't stocks generally more risky than bonds?

Overall, that is true. But stocks are a broad class, and you can reduce the risks significantly by selecting high-quality dividend stocks that can generate regular, predictable income and can also decrease the volatility of your portfolio compared to the overall stock market.

Combating the impact of inflation is one advantage of owning these dividend-paying stocks. Here's why: many of these stable, high-quality companies increase their dividends over time, which translates to rising dividend income that offsets the effects of inflation.

Thinking about dividend-focused mutual funds or ETFs? Watch out for fees.

If you're thinking, "I want to invest in a dividend-focused ETF or mutual fund," make sure to do your homework. It's important to know that some mutual funds and specialized ETFs charge high fees, which may diminish your dividend gains or income and thwart the overall objective of this investment strategy. If you do want to invest in fund, research well to identify the best-quality dividend funds with the least charges.

Bottom Line

Pursuing a dividend investing strategy can help protect your retirement portfolio. Whether you choose to invest in stocks or through low-fee mutual funds or ETFs, this approach can potentially help you achieve a more secure and enjoyable retirement.